Modular arithmetic has numerous applications in: Cryptography (RSA, Diffie-Hellman, etc.) Coding theory (error-correcting codes, etc.) Computer science (hash functions, pseudorandom number generators, ...

The study of arithmetic properties and digit restrictions in number theory explores the intricate relationships between classical arithmetic functions and the digital representation of numbers. This ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

Bilinear forms and character sums have emerged as pivotal tools in analytic number theory, offering robust frameworks for investigating sums wherein variables interact multiplicatively. Bilinear forms ...

Higher arithmetic refers to the branch of mathematics that studies integers and their properties. Key topics in higher arithmetic include: Number Theory: The study of properties of integers, such as ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

Number theory studies the integers and mathematical objects constructed from them. Carl Friedrich Gauss once said, "Mathematics is the queen of the sciences, and number theory is the queen of ...

Chantal David is one of the leading number theorists in Canada, known for significant and original research contributions. She is primarily interested in distribution questions for arithmetic objects ...